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Finding the Fourth Proportional to 15,872.86, 23,810.46 and 4,186

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Solution

The fourth proportional to 15,872.86, 23,810.46 and 4,186 is: 6,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.86 : 23,810.46 = 4,186 : x
  2. Step 2: Convert to fraction form
    15,872.86/23,810.46 = 4,186/x
  3. Step 3: Cross multiply
    15,872.86x = 23,810.46 × 4,186
  4. Step 4: Simplify right side
    15,872.86x = 99,670,585.56
  5. Step 5: Solve for x
    x = 99,670,585.56/15,872.86
  6. Step 6: Final answer
    x = 6,279.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.